Question

Given f(x) = x - 3, find the inverse of f(x).

A. f^(-1)(x) = x - 3
B. f^(-1)(20) = x + 3
C. f^(-1)(x) = 3 - 2
D. f^(-1)(x) = 3x

Answer 1

The inverse of the function f(x) = x - 3 is f^(-1)(x) = x + 3.

Step-by-step explanation:

To find the inverse of a function, we switch the roles of x and y and solve for y. For the given function f(x) = x - 3, we can substitute y for f(x) and x for y to get x = y - 3. Now, we solve for y:

y = x + 3

So, the inverse of f(x) is f^(-1)(x) = x + 3.